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Select the outlier in the data set.\newline6,64,84,85,87,89,91,966, 64, 84, 85, 87, 89, 91, 96\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease

Full solution

Q. Select the outlier in the data set.\newline6,64,84,85,87,89,91,966, 64, 84, 85, 87, 89, 91, 96\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
  1. Calculate Mean: Calculate the mean of the data set: (6+64+84+85+87+89+91+96)/8=75.25(6 + 64 + 84 + 85 + 87 + 89 + 91 + 96) / 8 = 75.25
  2. Identify Outlier: Identify the outlier by comparing each data point to the mean. The number 66 is significantly lower than the mean and other data points.
  3. Calculate Mean Without Outlier: Calculate the mean without the outlier: (64+84+85+87+89+91+96)/7=85.14(64 + 84 + 85 + 87 + 89 + 91 + 96) / 7 = 85.14
  4. Compare Means: Compare the two means: The original mean is 75.2575.25, and the new mean without the outlier is 85.1485.14. Since 85.1485.14 is greater than 75.2575.25, removing the outlier increases the mean.

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